Finding the Third Proportional to 62.25 and 128.81

Step by Step Solution

1. Step 1: Write the proportion equation
   62.25 : 128.81 = 128.81 : x
2. Step 2: Convert to fraction form
   62.25/128.81 = 128.81/x
3. Step 3: Cross multiply
   62.25x = 128.81 × 128.81
4. Step 4: Simplify right side
   62.25x = 16,592.66
5. Step 5: Solve for x
   x = 16,592.66/62.25
6. Step 6: Final answer
   x = 266.55